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Finding the Fourth Proportional to 663.52, 915.97 and 398.09

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Solution

The fourth proportional to 663.52, 915.97 and 398.09 is: 549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.52 : 915.97 = 398.09 : x
  2. Step 2: Convert to fraction form
    663.52/915.97 = 398.09/x
  3. Step 3: Cross multiply
    663.52x = 915.97 × 398.09
  4. Step 4: Simplify right side
    663.52x = 364,638.50
  5. Step 5: Solve for x
    x = 364,638.50/663.52
  6. Step 6: Final answer
    x = 549.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.